Problems on Set Theory

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Description
Grade 11 Mathematics
Sets Relations and functions
Problems based on introduction to Set Theory
Definitions
Representation of Sets - Tabular form and set builder form
Identifying sets
Types of sets
Power set


Also useful for ICSE Grade 8 students

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Presentation Transcript Presentation Transcript

PROLEMS ON SETS : PROLEMS ON SETS By Selin Sebastian

Question 1 : Question 1 Identify equivalent sets (I) A = {4, 6, 7, 9, 10}(II) B = {a, b, c, 10, 9}(III) C ={9, 3, 6, 4, 2, 1}

Question 2 : Question 2 If A = {14, 18, 22, 26} and B = {18, 14, 26, 22} then A and B are ………..sets.

Question 3 : Question 3 Which of the following is a null set? A = {0}B = {x : x > 0 or x < 0}C = {x : x2 = 4 or x = 3}D = {x : x2 + 1 = 0, x R}

Question 4 : Question 4 The set {x : x is an even prime number} can be written as ………

Question 5 : Question 5 Write the set {3,6,9,12……} in set builder form.

Question 6 : Question 6 If A = {1,2,3} then find P(A)

Question 7 : Question 7 Write the set in Roster form.

Question 8 : Question 8 Find pair of equal sets, from the following sets A = {0} B = {x: x>10 and x<4} C = {x: x-3 = 0} D = {x: x is a positive root of x2-2x-3}

Question 9 : Question 9 Write the set {1,4,9, ……..100} in set builder form

Question 10 : Question 10 Write the Set E = {x: x is a letter of the word mathematics}

Question 11 : Question 11 State whether A = B or not. a) If A = { 2,4,6,8,10} and B = { x : x is positive even integer and x 10} b) A = {7,3} B = { x : x is a solution of x2 +5x + 6 = 0}

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